We consider a non-relativistic quantum system consisting of K heavy and N light particles in dimension three, where each heavy particle interacts with the light ones via a two-body potential α V. No interaction is assumed among particles of the same kind. Choosing an initial state in a product form and assuming α sufficiently small we characterize the asymptotic dynamics of the system in the limit of small mass ratio, with an explicit control of the error. In the case K = 1 the result is extended to arbitrary α. The proof relies on a perturbative analysis and exploits a generalized version of the standard dispersive estimates for the Schrödinger group. Exploiting the asymptotic formula, an application to the problem of the decoherence effect produced on a heavy particle by the interaction with the light ones is also outlined.
Adami, R., Figari, R., Finco, D., & Teta, A. (2006). On the asymptotic dynamics of a quantum system composed by heavy and light particles. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 268(3), 819-852.
Citazione: | Adami, R., Figari, R., Finco, D., & Teta, A. (2006). On the asymptotic dynamics of a quantum system composed by heavy and light particles. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 268(3), 819-852. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Titolo: | On the asymptotic dynamics of a quantum system composed by heavy and light particles |
Autori: | Adami, R; Figari, R; Finco, D; Teta, A |
Autori: | |
Data di pubblicazione: | 2006 |
Lingua: | English |
Rivista: | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00220-006-0115-0 |
Appare nelle tipologie: | 01 - Articolo su rivista |